Green onions are actually ok for her to eat.
Spaghetti carbonara is always a winner. A lot of people make it with garlic but traditionally it’s just guanciale (or pancetta or bacon depending on what’s available for you), eggs, cheese, and noodles. It’s the Italian bacon egg and cheese. There are plenty of good recipes but whichever one you choose, the key to getting the emulsification right is to mix the cheese and eggs together cold and then add them to the pasta heat off while stirring quickly. Add the leftover water from boiling the pasta in small amounts until you get the consistency you want. The sauce should be creamy, not thin or chunky.
Unfortunately, 40% of every dish I make is yellow onion and garlic so I don’t think I can help.
You can replace sauteed onions with similarly cut and sauteed eggplants. Different flavour, similar function.
There are some Indian dishes without them. I’ve had good results making things from a book called The Art of Indian Vegetarian Cooking. No onions or garlic are used in any of the recipes and there are plenty without beans.
Is this part of a low fodmap diet or just a food preference thing? Either way you can get a lot of decent recipes just searching low fodmap x.
also pasta with roasted or sauteed cherry tomatoes is my go to, top with basil/parm/whatevs